Critical Binder cumulant in two-dimensional anisotropic Ising models

Abstract

The Binder cumulant at the phase transition of Ising models on square lattices with various ferromagnetic nearest and next-nearest neighbour couplings is determined using mainly Monte Carlo techniques. We discuss the possibility to relate the value of the critical cumulant in the isotropic, nearest neighbour and in the anisotropic cases to each other by means of a scale transformation in rectangular geometry, to pinpoint universal and nonuniversal features.

7 pages, 4 figures, submitted to J. Phys. A

Cited by in corpus (29)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Location of the Potts-critical end point in the frustrated Ising model on the square lattice
• Determination of the Critical Exponents for the Isotropic-Nematic Phase Transition in a System of Long Rods on Two-dimensional Lattices: Universality of the Transition
• Critical Binder cumulant of two-dimensional Ising models
• Critical Binder cumulant for isotropic Ising models on square and triangular lattices
• Diversity of critical behavior within a universality class
• Asymptotic Behavior of the Isotropic-Nematic and Nematic-Columnar Phase Boundaries for the System of Hard Rectangles on a Square lattice
• Dynamical percolation transition in the Ising model studied using a pulsed magnetic field
• Critical Casimir force in slab geometry with finite aspect ratio: analytic calculation above and below $T_c$
• Critical behavior of repulsive linear $k$-mers on triangular lattices
• Exact Critical Casimir Amplitude of Anisotropic Systems from Conformal Field Theory and Self-Similarity of Finite-Size Scaling Functions in $d\ge 2$ Dimensions
• Critical behavior of self-assembled rigid rods on triangular and honeycomb lattices
• On the mean Euler characteristic and mean Betti numbers of the Ising model with arbitrary spin
• Hierarchical single-ion anisotropies in spin-1 Heisenberg antiferromagnets on the honeycomb lattice
• Anisotropy and universality: Critical Binder cumulant of the two-dimensional Ising model
• Universal anisotropic finite-size critical behavior of the two-dimensional Ising model on a strip and of d-dimensional models on films
• Universal Critical Behavior of Percolation in Orientationally Ordered Janus Particles and Other Anisotropic Systems
• Multiparameter universality and conformal field theory for anisotropic confined systems: test by Monte Carlo simulations
• Emergent criticality in fully frustrated quantum magnets
• Multicritical Bifurcation and First-order Phase Transitions in a Three-dimensional Blume-Capel Antiferromagnet
• Influence of anisotropy on the study of critical behavior of spin models by machine learning methods
• Test of Universality in Anisotropic 3D Ising Model
• Phase boundary near a magnetic percolation transition
• Critical and geometric properties of magnetic polymers across the globule-coil transition
• Monte Carlo study of the two-dimensional site-diluted dipolar Ising model
• Anomalous scaling corrections and quantum phase diagram of the Heisenberg antiferromagnet on the spatially anisotropic honeycomb lattice
• A branching random-walk model of disease outbreaks and the percolation backbone
• A non-absorbing SIR stochastic lattice gas model on hybrid lattices
• Critical behavior of the stochastic SIR model on random bond-diluted lattices